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Finding the Fourth Proportional to 256,460.44, 384,346.76 and 199,603.01

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Solution

The fourth proportional to 256,460.44, 384,346.76 and 199,603.01 is: 299,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,460.44 : 384,346.76 = 199,603.01 : x
  2. Step 2: Convert to fraction form
    256,460.44/384,346.76 = 199,603.01/x
  3. Step 3: Cross multiply
    256,460.44x = 384,346.76 × 199,603.01
  4. Step 4: Simplify right side
    256,460.44x = 76,716,769,181.73
  5. Step 5: Solve for x
    x = 76,716,769,181.73/256,460.44
  6. Step 6: Final answer
    x = 299,136.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.